Answer:
0.4476
Step-by-step explanation:
Answer:
C. Correct
Step-by-step explanation:
The interpretation of a confidence interval of x% is that we are x% that this interval contains the mean of the population.
So, for example, the interpretation of a confidence interval of 95% is that we are 95% that this interval contains the mean of the population.
In this problem, we have that:
Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 41.5 and upper bound: 45.6.
Also, the following affiration:
(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.
This is correct
So, the answer is:
C. Correct
Answer:
![(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2%20%3D%20x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:
![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
Square of the sum:
![(x + y)^2 = x^2 + 2xy + y^2](https://tex.z-dn.net/?f=%28x%20%2B%20y%29%5E2%20%3D%20x%5E2%20%2B%202xy%20%2B%20y%5E2)
In this question:
![(x + (3+5i))^2](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2)
![x^2 + 2x(3+5i) + (3+5i)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%283%2B5i%29%20%2B%20%283%2B5i%29%5E2)
![x^2 + 6x + 10xi + 9 + 30i + 25i^2](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%2010xi%20%2B%209%20%2B%2030i%20%2B%2025i%5E2)
![x^2 + 6x + 9 + (10x+30)i - 25](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%209%20%2B%20%2810x%2B30%29i%20-%2025)
![x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
So
![(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16](https://tex.z-dn.net/?f=%28x%20%2B%20%283%2B5i%29%29%5E2%20%3D%20x%5E2%20%2B%206x%20%2B%20%2810x%2B30%29i%20-%2016)
Step-by-step explanation:
Radius of a cicke is calculated by 2 pi r
Equation is found by y=mx+C